Timeline for $K$-homology of $BG$
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Jul 27, 2014 at 11:25 | comment | added | Drew Heard | Interesting! Apologies for the misinformation @KHBG | |
| Jul 27, 2014 at 7:10 | comment | added | Neil Strickland | @KHBG: yes, if $G$ is finite then $R(G)$ has Krull dimension one and so $H^k_J(M)=0$ for any $k>1$ and any $R(G)$-module $M$; see Chapter 6 of Brodmann and Sharp, for example. | |
| Jul 26, 2014 at 0:47 | comment | added | Drew Heard | I believe not. By the Joachim and Lück paper the $n$-th local cohomology groups can identified with a colimit of $\text{Ext}^n$'s | |
| Jul 25, 2014 at 17:53 | vote | accept | KHBG | ||
| Jul 25, 2014 at 15:00 | comment | added | KHBG | Thanks again. Does H^2_J(R(G)) and higher vanish? | |
| Jul 25, 2014 at 7:04 | history | edited | Drew Heard | CC BY-SA 3.0 |
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| Jul 25, 2014 at 6:23 | history | edited | Drew Heard | CC BY-SA 3.0 |
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| Jul 25, 2014 at 6:22 | comment | added | Drew Heard | The $K$-homology groups are two-periodic. I think Greenlees' formula only holds for $i=0,1$, but then you can just use the periodicity. I'll edit the answer. | |
| Jul 25, 2014 at 6:13 | comment | added | KHBG | Thanks Drew. I thought K_i(BG+) depends only on the parity of i. Is that also true for H^i_J(RG)? | |
| Jul 25, 2014 at 6:04 | history | edited | Drew Heard | CC BY-SA 3.0 |
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| Jul 25, 2014 at 5:58 | history | edited | Drew Heard | CC BY-SA 3.0 |
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| Jul 25, 2014 at 5:40 | history | edited | Drew Heard | CC BY-SA 3.0 |
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| Jul 25, 2014 at 5:23 | history | answered | Drew Heard | CC BY-SA 3.0 |